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Factor the difference of two squares. $$36 x^{2}-49$$

Short Answer

Expert verified
The factored form of \(36x^2 - 49\) is \((6x + 7)(6x - 7)\)

Step by step solution

01

Identify the squares

The given expression is \(36x^2 - 49\). Here, \(6x\) is the square root of \(36x^2\) and \(7\) is the square root of \(49\).
02

Apply the difference of squares formula

Applying the factoring formula for the difference of squares \((a^2 - b^2) = (a + b)(a - b)\), substitute \(a = 6x\) and \(b = 7\).
03

Factor the expression

Substituting the values into the formula yields the result: \((6x + 7)(6x - 7)\).

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